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Finding the Third Proportional to 764,682,139.13 and 1,180,802,942.25

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Solution

The third proportional to 764,682,139.13 and 1,180,802,942.25 is: 1,823,366,229.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,682,139.13 : 1,180,802,942.25 = 1,180,802,942.25 : x
  2. Step 2: Convert to fraction form
    764,682,139.13/1,180,802,942.25 = 1,180,802,942.25/x
  3. Step 3: Cross multiply
    764,682,139.13x = 1,180,802,942.25 × 1,180,802,942.25
  4. Step 4: Simplify right side
    764,682,139.13x = 1,394,295,588,426,256,896
  5. Step 5: Solve for x
    x = 1,394,295,588,426,256,896/764,682,139.13
  6. Step 6: Final answer
    x = 1,823,366,229.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.